Home / 1,490.06-2,056.26-826.90

Finding the Fourth Proportional to 1,490.06, 2,056.26 and 826.90

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Solution

The fourth proportional to 1,490.06, 2,056.26 and 826.90 is: 1,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.06 : 2,056.26 = 826.90 : x
  2. Step 2: Convert to fraction form
    1,490.06/2,056.26 = 826.90/x
  3. Step 3: Cross multiply
    1,490.06x = 2,056.26 × 826.90
  4. Step 4: Simplify right side
    1,490.06x = 1,700,321.39
  5. Step 5: Solve for x
    x = 1,700,321.39/1,490.06
  6. Step 6: Final answer
    x = 1,141.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.